Respuesta :

Answer:

y - 1 = - (x - 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (- 2, 5)

m = [tex]\frac{5-1}{-2-2}[/tex] = [tex]\frac{4}{-4}[/tex] = - 1

Using (a, b) = (2, 1), then

y - 1 = - 1(x - 2), that is

y - 1 = - (x - 2)